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Awesome Essay

  • Submitted by: adx1314
  • on September 2, 2013
  • Category: English
  • Length: 338 words

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Below is an essay on "Awesome" from Anti Essays, your source for research papers, essays, and term paper examples.

Methods are awesome~~~

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Australian Education Academy Pty Ltd
2006








MATHEMATICAL METHODS
UNIT 3 & 4


TRIAL EXAMINATION 1 (Solutions)












Published by Australian Education Academy Pty Ltd
ABN: 18 104 474 893
292 Mount Alexander Road, Ascot Vale. 3032
Ph: (03) 9370 0666 Fax: (03) 9375 7277
Email: wendy@aust-education.com.au



SOLUTIONS

Question 1.

a.

[pic]
                      (4 marks)

b.

[pic]
[pic]
Standard deviation [pic][pic]

(4 marks)
c.

[pic]

(2 marks)
Total 10 marks










Question 2.

(a)

X-height of males
    [pic]
[pic]

(3 marks)

b.

[pic]and
[pic]
([pic] A and B are       independent)


(3 marks)
Total 6 marks

Question 3.

a.

[pic]
maximum and minimum values of C(t)
are given by
[pic]
(3 marks)




b.
      [pic]

(3 marks)
Total 6 marks

Question 4.

a.

[pic]is one-to-one within the domain [2,().
(2 marks)

b.

The range of   f is [1,().
(2 marks)

c.
[pic]
                      (4 marks)


d.
[pic]
Now   change x by   y
(Inverse function of f is [pic]


(3 marks)
Total 11 marks


Question 5

a.
Since[pic] passes through the point [pic] we have
[pic]
(3 marks)

b. [pic]
                      (4 marks)

c.
    [pic]

(4 marks)
Total 11 marks


Question 6.

Gradient of the left most line segment is

[pic]

Gradient of the middle line segment is 0.
Hence the equation of the derivative curve is   y=0 for [pic].
Equation of the parabola is [pic]
( The equation of the derivative curve is   [pic].
Derivative does not exists at the points   –6, 0, 2 and 6.
[pic]

(4 marks)

b.

Domain of the derivative function is [pic]

(2 marks)

Total   6 marks


Question 7.

(a)

Intersection points are given by

[pic]
                      (3 marks)...

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